Lecture Notes on Elementary Topology and Geometry - 9781461573494

Lecture Notes on Elementary Topology and GeometryAuthor(s): I.M. Singer, J.A. Thorpe\nFormat: Paperback\nPublisher: Springer-Verlag New York Inc., United States\nImprint: Springer-Verlag New York Inc.\nISBN-13: 9781461573494, 978-1461573494\nSynopsis\nAt the present time, the average undergraduate mathematics major finds mathematics heavily compartmentalized. After the calculus, he takes a course in analysis and a course in algebra. Depending upon his interests (or those of his department), he takes courses in special topics. Ifhe is exposed to topology, it is usually straightforward point set topology; if he is exposed to geom etry, it is usually classical differential geometry. The exciting revelations that there is some unity in mathematics, that fields overlap, that techniques of one field have applications in another, are denied the undergraduate. He must wait until he is well into graduate work to see interconnections, presumably because earlier he doesn't know enough. These no.